1) Suppose you wish to generate a random real number between 5 and 21. Write down an appropriate probability density curve and use it to compute the probability that the real number generated is (a) greater than 18 (b) between 15 and 20, inclusive (c) between 15 and 20, exclusive (d) 13 (e) less than 10 or greater than 17 (f) less than 17 or greater than 10 (g) Find the mean, median, and quartiles of this distribution (standard deviation is more complicated and we haven’t talked about it).
Does anyone know what formula i would use for each individual case? (dont need answers just formula)
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Anonymous2007-04-27 1:07 ID:94CGffa9
Every real number between 5 and 21 would be equally likely, so the curve makes a friggin rectangle. Your probabilites correspond to areas under the curve, smaller rectangles for subsets. (The whole area from 5 to 21 would be 100%. You can arbitrarily set the height.) Your numbers are continuous so I think that means the inclusive and exclusive answers come out the same. Mean and median would be at the same place, halfway between 5 and 21. The quartiles they want are probably, quarter of the way from 5 to 21 for 1st, that median you found for 2nd, and three quarters of the way from 5 to 21 for 3rd. (Quartiles for discontinuous data suck because of lack of standard definitions out there, but your distribution is continuous so not so bad.)
>>3
I know, eh? What type of idiot would put an apostrophe there?
Also (d) is 1/(21-5) = 1/16. That I know for sure.
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Anonymous2007-04-27 6:31 ID:YGrA5M7R
>>3
Well I am not an "Retard." You have no right to call me that if I made mistakes. This site should have some rules about harrassments, threats, and name calling. I am still in the need of more help in that regards.
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Anonymous2007-04-27 14:23 ID:6BAKv0wo
>>4
you would be right; however, he said real number, not integer, which makes the probability of case d effectively 0, unless the probability function is something assidine like the Dirac Delta function.
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Anonymous2007-04-27 17:23 ID:vZaQRUFH
NIGGER DON'T KNOW HOW TO SPELL! NIGGER ALSO DON'T KNOW ABOUT UNIFORM DISTRIBUTIONS!
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Anonymous2007-04-27 17:34 ID:dlmXH8P5
>>6
he asked for a probability density curve, dimwit.
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Anonymous2007-04-27 17:40 ID:FVblkfY7
Look i fuck small children, what do you fuck?
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Anonymous2007-04-27 17:57 ID:vZaQRUFH
I FUCK WHITE WYMENS!!!
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Anonymous2007-04-27 20:50 ID:RCEx1Eab
>>8
Fucking tard, as >>2 said, it's a goddamn rectangle. >>6 is correct, (d) is zero. The probability of getting any number exactly is zero, which also means (b) and (c) have the same answer.